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Entropy generation analysis on electroosmotic flow in non-Darcy porous medium via peristaltic pumping

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A Correction to this article was published on 16 September 2019

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Abstract

In current paper, it is aimed to investigate the entropy generation of electroosmotic flow aggravated by peristaltic pumping across a non-Darcy porous medium. We have implemented the Darcy Forchheimer model to interpret the permeability of porous media. The electro-magneto-hydrodynamic flow is considered in a symmetric channel. We have analyzed the flow characteristics, heat transfer and entropy generation for various values of joule heating parameter \(\gamma\), Hartmann number \(H_{\text{m}}\), Darcy number \(\Omega^{2}\), Forchheimer number \(c_{\text{F}}\) and electroosmotic parameter m. It is found that entropy generation increases for increasing values of Darcy number \(\Omega^{2}\) and Forchheimer number \(c_{\text{F}}\).

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  • 16 September 2019

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References

  1. Bejan A. Entropy generation minimization. 2nd ed. Boca Raton: CRC; 1996.

    Google Scholar 

  2. Sciacovelli A, Verda V, Sciubba E. Entropy generation analysis as a design tool—a review. Renew Sustain Energy Rev. 2015;43:1167–81.

    Article  Google Scholar 

  3. Zhao L, Liu LH. Entropy generation analysis of electro-osmotic flow in open-end and closed-end micro-channels. Ain Shams Eng J. 2017;8:623–32.

    Article  Google Scholar 

  4. Rashidi MM, Abelman S, Mehr NF. Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid. Int J Heat Mass Transf. 2013;62:515–25.

    Article  CAS  Google Scholar 

  5. Afridi MI, Qasim M, Khan I, Tlili I. Entropy generation in MHD mixed convection stagnation-point flow in the presence of joule and frictional heating. Case Stud Therm Eng. 2018;12:292–300.

    Article  Google Scholar 

  6. Gul A, Khan I, Makhanov SS. Entropy generation in a mixed convection Poiseulle flow of molybdenum disulphide Jeffrey nanofluid. Results Phys. 2018;9:947–54.

    Article  Google Scholar 

  7. Saqib M, Ali F, Khan I, Sheikh NA, Khan A. Entropy generation in different types of fractionalized nanofluids. Arab J Sci Eng. 2018:44(1):1–10.

    Google Scholar 

  8. Adesanya SO, Falade JA. Thermodynamics analysis of hydromagnetic third grade fluid flow through a channel filled with porous medium. Alex Eng J. 2015;54(3):615–22.

    Article  Google Scholar 

  9. Afridi MI, Qasim M, Shafie S, Makinde OD. Entropy generation analysis of spherical and non-spherical ag-water nanofluids in a porous medium with magnetic and porous dissipation. J Nanofluids. 2018;7(5):951–60.

    Article  Google Scholar 

  10. Abbas MA, Bai Y, Rashidi MM, Bhatti MM. Analysis of entropy generation in the flow of peristaltic nanofluids in channels with compliant walls. Entropy. 2016;18(3):90.

    Article  CAS  Google Scholar 

  11. Rashidi MM, Bhatti MM, Abbas MA, Ali ME. Entropy generation on MHD blood flow of nanofluid due to peristaltic waves. Entropy. 2016;18(4):117.

    Article  CAS  Google Scholar 

  12. Qasim M, Hayat Khan Z, Khan I, Al-Mdallal QM. Analysis of entropy generation in flow of methanol-based nanofluid in a sinusoidal wavy channel. Entropy. 2017;19(10):490.

    Article  CAS  Google Scholar 

  13. Alizadeh R, Karimi N, Arjmandzadeh R, et al. Mixed convection and thermodynamic irreversibilities in MHD nanofluid stagnation-point flows over a cylinder embedded in porous media. J Therm Anal Calorim. 2018. https://doi.org/10.1007/s10973-018-7071-8.

    Article  Google Scholar 

  14. Shamsabadi H, Rashidi S, Esfahani JA. Entropy generation analysis for nanofluid flow inside a duct equipped with porous baffles. J Therm Anal Calorim. 2018. https://doi.org/10.1007/s10973-018-7350-4.

    Article  Google Scholar 

  15. Cameselle C, Reddy KR. Development and enhancement of electro-osmotic flow for the removal of contaminants from soils. Electrochim Acta. 2012;86:10–22.

    Article  CAS  Google Scholar 

  16. Zhou J, Tao YL, Xu CJ, Gong XN, Hu PC. Electro-osmotic strengthening of silts based on selected electrode materials. Soils Found. 2015;55(5):1171–80.

    Article  Google Scholar 

  17. Tripathi D, Bhushan S, Bég OA. Transverse magnetic field driven modification in unsteady peristaltic transport with electrical double layer effects. Colloids Surf A. 2016;506:32–9.

    Article  CAS  Google Scholar 

  18. Bouriat P, Saulnier P, Brochette P, Graciaa A, Lachaise J. A convenient apparatus to determine the zeta potential of grains by electro-osmosis. J Colloid Interface Sci. 1999;209(2):445–8.

    Article  CAS  PubMed  Google Scholar 

  19. Li B, Zhou WN, Yan YY, Tian C. Evaluation of electro-osmotic pumping effect on microporous media flow. Appl Therm Eng. 2013;60(1–2):449–55.

    Article  Google Scholar 

  20. Latham TW. Fluid motion in a peristaltic pump. Cambridge: MIT; 1966.

    Google Scholar 

  21. Noreen S. Peristaltically assisted nanofluid transport in an asymmetric channel. Karbala Int J Mod Sci. 2018;4(1):35–49.

    Article  Google Scholar 

  22. Noreen S, Rashidi MM, Qasim M. Blood flow analysis with considering nanofluid effects in vertical channel. Appl Nanosci. 2017;7(5):193–9.

    Article  CAS  Google Scholar 

  23. Noreen S. Effects of joule heating and convective boundary conditions on magnetohydrodynamic peristaltic flow of couple-stress fluid. J Heat Transf. 2016;138(9):094502.

    Article  Google Scholar 

  24. Misra JC, Pandey SK. Peristaltic transport of blood in small vessels: study of a mathematical model. Comput Math Appl. 2002;43(8–9):1183–93.

    Article  Google Scholar 

  25. Mishra M, Rao AR. Peristaltic transport of a Newtonian fluid in an asymmetric channel. Z angew Math Phys ZAMP. 2003;54(3):532–50.

    Article  Google Scholar 

  26. Qasim M, Noreen S. Heat transfer in the boundary layer flow of a Casson fluid over a permeable shrinking sheet with viscous dissipation. Eur Phys J Plus. 2014;129(1):7.

    Article  Google Scholar 

  27. Vajravelu K, Radhakrishnamacharya G, Radhakrishnamurty V. Peristaltic flow and heat transfer in a vertical porous annulus, with long wave approximation. Int J Non-Linear Mech. 2007;42(5):754–9.

    Article  Google Scholar 

  28. Srinivas S, Kothandapani M. The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls. Appl Math Comput. 2009;213(1):197–208.

    Google Scholar 

  29. Tripathi D. Peristaltic transport of a viscoelastic fluid in a channel. Acta Astronaut. 2011;68(7–8):1379–85.

    Article  Google Scholar 

  30. Starov VM, Zhdanov VG. Effective viscosity and permeability of porous media. Colloids Surf A. 2001;192(1–3):363–75.

    Article  CAS  Google Scholar 

  31. Reddy MG. Heat and mass transfer on magnetohydrodynamic peristaltic flow in a porous medium with partial slip. Alex Eng J. 2016;55(2):1225–34.

    Article  Google Scholar 

  32. Elshehawey EF, Eldabe NT, Elghazy EM, Ebaid A. Peristaltic transport in an asymmetric channel through a porous medium. Appl Math Comput. 2006;182(1):140–50.

    Google Scholar 

  33. Noreen S. Magneto-thermo hydrodynamic peristaltic flow of Eyring–Powell nanofluid in asymmetric channel. Nonlinear Eng. 2018;7(2):83–90.

    Article  Google Scholar 

  34. Khalid A, Khan I, Khan A, Shafie S, Tlili I. Case study of MHD blood flow in a porous medium with CNTS and thermal analysis. Case Stud Therm Eng. 2018;12:374–80.

    Article  Google Scholar 

  35. Khan I, Abro KA, Mirbhar MN, Tlili I. Thermal analysis in Stokes’ second problem of nanofluid: applications in thermal engineering. Case Stud Therm Eng. 2018;12:271–5.

    Article  Google Scholar 

  36. Kouloulias K, Sergis A, Hardalupas YJ. Assessing the flow characteristics of nanofluids during turbulent natural convection. Therm Anal Calorim. 2018. https://doi.org/10.1007/s10973-018-7631-y.

    Article  Google Scholar 

  37. Forcheimer P. Wasserbewewegung durch Boden. Z Ver Deutsch Ing. 1901;45:1782–8.

    Google Scholar 

  38. Begum AS, Nithyadevi N, Öztop HF, Al-Salem K. Numerical simulation of MHD mixed convection in a nanofluid filled non-darcy porous enclosure. Int J Mech Sci. 2017;1(130):154–66.

    Article  Google Scholar 

  39. Wu YS. Non Darcy displacements of immiscible fluids in porous media. Water Resour Res 2001;37:2943–50.

    Article  Google Scholar 

  40. Veyskarami M, Hassani AH, Ghazanfari MH. Modeling of non-Darcy flow through anisotropic porous media: role of pore space profiles. Chem Eng Sci. 2016;151:93–104.

    Article  CAS  Google Scholar 

  41. Gupta A, Coelho D, Adler PM. Universal electro-osmosis formulae for porous media. J Colloid Interface Sci. 2008;319(2):549–54.

    Article  CAS  PubMed  Google Scholar 

  42. Tripathi D. Study of transient peristaltic heat flow through a finite porous channel. Math Comput Model. 2013;57(5–6):1270–83.

    Article  Google Scholar 

  43. Tripathia D, Bhushan S, Bég OA. Unsteady viscous flow driven by the combined effects of peristalsis and electro-osmosis. Alex Eng J 2018;57(3):1349–59.

    Article  Google Scholar 

  44. Goswami P, Chakraborty S. Semi-analytical solutions for electrosomotic flows with interfacial slip in microchannels of complex crosssectional shapes. Microfluid Nanofluid. 2011;11:255–67.

    Article  CAS  Google Scholar 

  45. Tripathi D, Bhushan S, Beg OA. Transverse magnetic field driven modification in unsteady peristaltic transport with electrical double layer effects. Colloids Surf A Physicochem Eng Asp. 2016;506:32–9.

    Article  CAS  Google Scholar 

  46. Nield DA. Modelling fluid flow and heat transfer in a saturated porous medium. Adv Decis Sci. 2000;4(2):165–73.

    Google Scholar 

  47. Jaffrin MY, Shapiro AH. Peristaltic pumping. Annu Rev Fluid Mech. 1971;3:13–37.

    Article  Google Scholar 

  48. Shapiro AH, Jaffrin MY, Weinberg SL. Peristaltic pumping with long wavelengths and low Reynolds number. J Fluid Mech. 1969;37:799–825.

    Article  Google Scholar 

  49. Kikuchi Y. Effect of Leukocytes and platelets on blood flow through a parallel array of microchannels: micro-and Macroflow relation and rheological measures of leukocytes and platelate acivities. Microvasc Res. 1995;50:288–300.

    Article  CAS  PubMed  Google Scholar 

  50. Akbar NS. Entropy generation and energy conversion rate for the peristaltic flow in a tube with magnetic field. Energy. 2015;82:23–30.

    Article  Google Scholar 

  51. Adesanya SO, Falade JA. Thermodynamics analysis of hydromagnetic third grade fluid flow through a channel filled with porous medium. Alex Eng J. 2015;54:615–22.

    Article  Google Scholar 

  52. Akbar NS, Raza M, Ellahi R. Peristaltic flow with thermal conductivity of H2O + Cu nanofluid and entropy generation. Results Phys. 2015;5:115–24.

    Article  Google Scholar 

  53. Abbas MA, Yanqin B, Rashidi MM, Bhatti MM. Analysis of entropy generation in the flow of peristaltic nanofluids in channels with compliant walls. Entropy. 2016;18:90.

    Article  CAS  Google Scholar 

  54. Rashidi MM, Bhatti MM, Abbas MA, Ali MES. Entropy generation on MHD blood flow of nanofluid due to peristaltic waves. Entropy. 2016;16:117.

    Article  CAS  Google Scholar 

  55. Maraj EN, Nadeem S. Theoretical analysis of entropy generation in peristaltic transport of nanofluid in an asymmetric channel. Int J Exergy. 2016;20:294–317.

    Article  CAS  Google Scholar 

  56. Munawar S, Saleem N, Aboura K. Second law analysis in the peristaltic flow of variable viscosity fluid. Int J Exergy. 2016;20:170–85.

    Google Scholar 

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  1. Department of Mathematics, Comsats University Islamabad, Tarlai Kalan Park Road, Islamabad, 44000, Pakistan

    S. Noreen &  Qurat Ul Ain

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Noreen, S., Qurat Ul Ain Entropy generation analysis on electroosmotic flow in non-Darcy porous medium via peristaltic pumping. J Therm Anal Calorim 137, 1991–2006 (2019). https://doi.org/10.1007/s10973-019-08111-0

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